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THE STABLE CLASSES AND THE CODIMENSION-ONE BIFURCATIONS OF THE PLANAR REPLICATOR SYSTEM
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UNSPECIFIED (1992) THE STABLE CLASSES AND THE CODIMENSION-ONE BIFURCATIONS OF THE PLANAR REPLICATOR SYSTEM. NONLINEARITY, 5 (4). pp. 921-939. ISSN 0951-7715.
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Abstract
The nine-dimensional parameter space of the planar replicator system is reduced to a 3-torus and then stratified into 19 different components which are shown to be the stable classes of the system. A complete list of the 38 codimension-one bifurcations in the system is obtained and it is shown that the transversal deformations of topologically similar codimension-one flows with no cycle of saddles are equivalent.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | NONLINEARITY | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0951-7715 | ||||
Official Date: | July 1992 | ||||
Dates: |
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Volume: | 5 | ||||
Number: | 4 | ||||
Number of Pages: | 19 | ||||
Page Range: | pp. 921-939 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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